CICY Coxeter DB | 7809

CICY7809

  • rank 1
  • ℤ₂
  • finite
Favorable Kähler-favProduct
h1,1h^{1,1}
2
h2,1h^{2,1}
56
χ\chi
−108
ambient factors
2
polynomials
4
iso-flops
1
Coxeter rank
1
Coxeter group
ℤ₂
Configuration matrix
2×4 configuration
X7809=[P31111P42111]−1082,56X_{7809} = \left[\begin{array}{c|cccc} \mathbb{P}^{3} & 1 & 1 & 1 & 1 \\ \mathbb{P}^{4} & 2 & 1 & 1 & 1 \end{array}\right]^{2,56}_{-108}
Second Chern class
c2(X)⋅Di=(4450)Tc_2(X)\cdot D_i = \begin{pmatrix} 44 & 50 \end{pmatrix}^{T}
Coxeter diagram Gallery →
Coxeter matrix
(1)\begin{pmatrix} 1 \end{pmatrix}
Iso-flop reflections Kähler representation
M^1\hat{M}_1: row 2, Type 2
M^1=(170−1)\hat{M}_1 = \begin{pmatrix} 1 & 7 \\ 0 & -1 \end{pmatrix}

Database record

Mathematica 
<|Num -> 7809, H11 -> 2, H21 -> 56, C2 -> {44, 50}, Conf -> {{1, 1, 1, 1}, {2, 1, 1, 1}}, Favour -> True, KahlerPos -> True, IsProduct -> False, IsoFlopRows -> {{2, "Type 2"}}, KahlerRefGens -> {{{1, 7}, {0, -1}}}, CoxeterMat -> {{1}}|>
Plain text 
Num           : 7809
H11           : 2
H21           : 56
C2            : {44, 50}
Conf          : {{1, 1, 1, 1}, {2, 1, 1, 1}}
Favour        : True
KahlerPos     : True
IsProduct     : False
IsoFlopRows   : {{2, "Type 2"}}
KahlerRefGens : {{{1, 7}, {0, -1}}}
CoxeterMat    : {{1}}